Two-dimensional conductors with interactions and disorder from particle-vortex duality

H. Goldman; M. Mulligan; S. Raghu; G. Torroba; M. Zimet

doi:10.1103/PhysRevB.96.245140

Two-dimensional conductors with interactions and disorder from particle-vortex duality

H. Goldman, M. Mulligan, S. Raghu, G. Torroba, M. Zimet

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Abstract

We study Dirac fermions in two spatial dimensions (2D) coupled to strongly fluctuating U(1) gauge fields in the presence of quenched disorder. Such systems are dual to theories of free Dirac fermions, which are vortices of the original theory. In analogy to superconductivity, when these fermionic vortices localize, the original system becomes a perfect conductor, and when the vortices possess a finite conductivity, the original fermions do as well. We provide several realizations of this principle and thereby introduce examples of strongly interacting 2D metals that evade Anderson localization.

Original language	English (US)
Article number	245140
Journal	Physical Review B
Volume	96
Issue number	24
DOIs	https://doi.org/10.1103/PhysRevB.96.245140
State	Published - Dec 27 2017
Externally published	Yes

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© 2017 American Physical Society.

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Two-dimensional conductors with interactions and disorder from particle-vortex duality

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